I’m confused how to do ratios

Answer:

...then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

Step-by-step explanation:

The factorised for. of the given Polynomial expression using the greatest common factor is; 2 (14x - 1).

It follows from the task content that the factorised form of the given Polynomial expression is to be determined using the greatest common factor.

Since the given expression is; 28x - 2.

By careful observation of the two terms (28x and -2) in the polynomial expression; the greatest common factor is; 2.

Hence, the factorised form of the polynomial expression as required is; 2 (14x - 1).

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Answer:

112/100

1.12

1.12×8

8.96

9.00

Answer:

\(9\)

Step-by-step explanation:

\(8 \times 112\% \\ 8 \times \frac{112}{100} \% \\ \frac{896}{100} \% \\ = 8.96 \\ = 9\)

Answer:

14 and 37

I just kept checking all the pairs I could think of until I got to this answer.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

1.18 i think

Step-by-step explanation:

Note that the table of budget is attached accordingly, and steps 1-4 have been completed. See the table.

4) Since the emergency fund for that month was $200, it means that they are in the short for $105. They can only affod it if they take from their savings.

5) they had a balance of $800 for the month. This is miscellaneous funds. They can make use of this for the trip to NASA. This way, they won't have to touch the savings or entertainment.

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Full Question:
See attached image.

Reflect

4. Analyze Relationships One month, the family must make an

emergency car repair for $305. Are they able to pay for it out of the

fixed emergency fund for that month? If not, how can they afford it?

5. The family wants to make a trip to Houston to visit the NASA Space

Center. What are some ways they can save without using all of the

allotted $160 for entertainment

its already done in red

Answer:

cos(α) = 24/25.

Step-by-step explanation:

First of all, we'll find the answer just using the fact that ABC is a right triangle in C. So, by the definition of cosine:

\(\cos(\alpha) = \dfrac{AC}{AB}\\\\\boxed{\cos(\alpha) = \dfrac{24}{25}}\)

Now, we'll solve the question with another approach. By the Law of Cosines in the triangle ABC:

\(BC^2 = AB^2+AC^2-2\cdot AB\cdot AC\cos(\alpha)\\\\7^2 = 25^2+24^2-2\cdot 25\cdot 24\cos(\alpha)\\\\49 = 625+576-1200\cos(\alpha)\\\\1200\cos(\alpha)=1152\\\\\boxed{\cos(\alpha) = \dfrac{24}{25}}\)

The total area of the canvas needed would be 21.4 square yards.

The formula to calculate the total surface area of a triangular pyramid is -

T.S.A. = {1/2}(a × b) + {1/2}(b × s).

Given is a tent is in the shape of a triangular prism.

The total area of the canvas would be -

A{C} = 2{1/2 x 2 x 1.7} + 2{3 x 2} + {3 x 2}

A{C} = (2 x 1.7) + 12 + 6

A{C} = 3.4 + 18

A{C} = 21.4 square yards

Therefore, the total area of the canvas needed would be 21.4 square yards.

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Answer:6

Step-by-step explanation:beacuse it it

Answer:

I am a little confused because it says the point-slope formula, but then tells you to solve for y and to distribute.  Attached , I put the answer in the point slope form, but if they want the equations solves for y, then the answer would be in the slope intercept form.  Below the answers are in point slope form, but I will put the answer in slope intercept form here.

1  y = 2x -1

2. y = 1/2x +3

3.  y = 2/3x + 4

4. y = -3/4x -7

5.y = -2x + 1

6. y = 1/3x -5

7. y = -5/3x + 7/3

8 y = 3x + 1

Step-by-step explanation:

The slope and the y-intercept of the line y = 4x + 5 are given as follows:

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

The function for this problem is given as follows:

y = 4x + 5.

Hence the slope and the intercept are given as follows:

The problem asks for the slope and the intercept of y = 4x + 5.

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a) In April, the number of students who had not passed their driving test decreased by 5%.

b) The equation is 1.2x + 0.95(1000 - x) = 1000.

c) 200 students passed their driving test in January.

a) At the beginning, of January, x students had passed their driving test, then the remaining number of students who had not passed their driving test was (1000 - x).

In April, the number of students who had not passed their driving test decreased by 5%, which means the remaining number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

b)

The number of students who had passed their driving test increased by 20%, which means the new number of students who passed their driving test is 1.2 times the original number (x).

The number of students who had not passed their driving test decreased by 5%, which means the new number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

Therefore, we can write the equation 1.2x + 0.95(1000 - x) = 1000.

c) We can solve for x in the equation 1.2x + 0.95(1000 - x) = 1000.

Expanding the equation, we get:

1.2x + 950 - 0.95x = 1000

0.25x = 50

x = 200

Therefore, 200 students passed their driving test in January.

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Answer:

Unit rate = 2 sneezes per minute

Step-by-step explanation:

40 sneezes in 20 minutes.

One quantity is 1 in unit rate with respect to other.

Unit rate = \(\frac{40\ sneezes}{20\ minutes}\)

Unit rate = 2 sneezes per minute

Answer:

Step-by-step explanation:

hello,

let s assume that we are on \([0;+\infty[\)

\(f(x)=x^2\)

if you are looking for

\(g(x)=f^{-1}(x)\)

then

\(g(x)=\sqrt{x}\)

Answer:

Step-by-step explanation:

Using elimination method:

2x - y = 7

3x + y = 3

--------------

5x = 10

Divide both sides of the equation by 5

\( \frac{5x}{5} = \frac{10}{5} \)

Calculate

\(x = 2\)

Now, substitute the given value of X in the equation

3x + y = 3

\(3 \times 2 + y = 3\)

Multiply the numbers

\(6 + y = 3\)

Move constant to R.H.S and change it's sign

\(y = 3 - 6\)

Calculate

\(y = - 3\)

The possible solution of this system is the ordered pair ( x , y )

---------------------------------------------------------------------

Check if the given ordered pair is the solution of the system of equation

\(2 \times 2 - ( - 3) = 7\)

\(3 \times 2 - 3 = 3\)

Simplify the equalities

\(7 = 7\)

\(3 = 3\)

Since all of the equalities are true, the ordered pair is the solution of the system

Hope this helps..

Best regards!!

Therefore, if the time is between 8:00 a.m. and 3:00 p.m., then people may make withdrawals or deposits at the bank.

This conclusion is based on the given premises that the bank is open during the time between 8:00 a.m. and 3:00 p.m. and that when the bank is open, people may make withdrawals or deposits. By combining these premises with modus ponens (a valid form of deductive reasoning), we can infer that if the time is within the bank's operating hours, then people may make withdrawals or deposits at the bank.

Answer:

D=221 m

Step-by-step explanation:

In order to solve this problem, we can start by drawing a diagram of the given situation. (see attached picture)

As you may see, we have a right triangle there, so we can use trigonometric functions to solve this. Specifically, the sine function.

\(sin \theta = \frac{OS}{Hyp}\)

in this case we need to find the hypotenuse, so we solve the equation above for the Hyp, so we get:

\(Hyp= \frac{OS}{sin \theta}\)

in this case, the opposite side (OS) is the heght of the helicopter, the angle is the 42° and the Hyp is the direct distance between the helicopter and Jackson, so we substitute the given data to get:

\(Distance=\frac{148m}{sin 42^{o}}\)

Which yields:

D=221m

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

In the function equations, we can see that

f(x) = x²

p(x) = -f(x) - 3

So, we have

Vertical Difference = 0 - 3

Evaluate

Vertical Difference = - 3

This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).

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Complete question :

Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places.

What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places.

Answer:

0.56 ; 0.60

Step-by-step explanation:

From The attached Venn diagram :

C = attend college ; J = has a job

P(C) = (35+45)/300 = 80/300 = 8/30

P(J) = (30+45)/300 = 75/300 = 0.25

P(C n J) = 45 /300 = 0.15

1.)

P(J | C) = P(C n J) / P(C)

P(J | C) = 0.15 / (8/30)

P(J | C) = 0.5625 = 0.56

2.)

P(C | J) = P(C n J) / P(J)

P(C | J) = 0.15 / (0.25)

P(C | J) = 0.6 = 0.60

The length of the arc of the circle subtended by the angle is option (b) 5π/3 meters.

Arc length is the length of a portion of the circumference of a circle. It is the distance along the curved line that makes up the circle's boundary, measured in linear units

The length of the arc of a circle subtended by a central angle can be found using the formula

arc length = (central angle / 360°) × 2πr

where r is the radius of the circle.

Substituting the given values, we get

arc length = (150° / 360°) × 2π(2 meters)

arc length = (5/12) × 2π(2 meters)

arc length = (5/3)π meters

Therefore, the correct option is (b) (5/3)π meters

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The total cost of buying a postal order of N15 would be N15.50.

To calculate the cost of buying a postal order of N365, we need to determine the commission associated with the value of N365 in the postal order table.

Since N365 is between N100 and N50, the commission for this amount would be N5.50.

Therefore, the total cost of buying a postal order of N365 would be N365 + N5.50 = N370.50.

To find the cost of buying a postal order of N15, we look at the postal order table and find that the commission associated with N15 is 50k.

Therefore, the total cost of buying a postal order of N15 would be N15 + 50k = N15.50.

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The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²

Side length, x = 1,3,4,5,8

Shaded Area, y = 0.5, 4.5, 8, 12.5, 32

The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c

a = 0.5 ; b = 0 ; c = 0

Therefore, the quadratic function can be written as y = 0.5x²

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The maximum height reached by the ball is 908.5 feet.

Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:

\(h(t) = -16t^2 + 152t + 6\)

This quadratic function models the height of the ball at any time t after it is thrown.

To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:

t = -b / 2a

where a = -16 and b = 152 are the coefficients of the quadratic function.

t = -152 / 2(-16) = 4.75

So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:

\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet

Therefore, the maximum height reached by the ball is 908.5 feet.

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Question

A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0

Answer:

the 2nd and 3rd one I believe